Lampholer means just the bit where the lamp plugs in.
Your challenge will be to get two conductors in to a space that is only really big enough, and designed, for only a single conductor.
Strictly speaking the whole cable and its conductors should be fully enclosed within the black enclosure where the terminal strip is. Also, there's no termination for your earth conductors.
This is not unusual, but you'll have problems getting them all in and making it a reliable connection.
These are made to solve this issue.
https://www.tlc-direct.co.uk/Products/TLCT100C.html
you'll need one for each downlight.
EDIT: Poo, too slow…
Your challenge will be to get two conductors in to a space that is only really big enough, and designed, for only a single conductor.
Strictly speaking the whole cable and its conductors should be fully enclosed within the black enclosure where the terminal strip is. Also, there's no termination for your earth conductors.
This is not unusual, but you'll have problems getting them all in and making it a reliable connection.
These are made to solve this issue.
https://www.tlc-direct.co.uk/Products/TLCT100C.html
you'll need one for each downlight.
EDIT: Poo, too slow…